Definitions for **"Pythagorean Theorem"**

In a right triangle, the square of the measure of the hypotenuse equals the sum of the squares of the measures of the two legs.

in any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other 2 sides. c2 = a2 + b2.

A theorem that states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the sides.

In a right triangle, c2 = a2 + b2 , where c represents the length of the hypotenuse (the longest side of the triangle which is opposite the right (angle), and a and b represent the lengths of the other two, shorter sides of the triangle.

In a right-angled triangle, the sum of the squares of the lengths of the sides containing the right angle is equal to the square of the hypotenuse ( + = ).

The principle, made famous by baseball analyst Bill James, that states that the record of a baseball team can be approximated by taking the square of team runs scored and dividing it by the square of team runs scored plus the square of team runs allowed. Statistician Daryl Morey later extended this theorem to other sports including professional football. Teams that win a game or more over what the Pythagorean theorem would project tend to regress the following year; teams that lose a game or more under what the Pythagorean theorem would project tend to win more the following year, particularly if they were 8-8 or better despite underachieving. More here.

If the legs of a right triangle are and , then they are related to the length of the hypotenuse by the equation

For any right triangle, the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse.

a² + b² = c². This theorem defines the relative lengths of each side of a triangle where one angle is 90 degrees. c refers to the longest side.

for a right triangle with sides A and B and hypotenuse H satisfies

the sum of the two squares of the lengths of the two legs of a right triangle is equal to the square of the length of the hypotenuse

in any right triangle having a hypotenuse of length and two legs of lengths and

the square of the hypotenuse (c) of a right triangle is equal to the sum of the squares of the legs (a and b), as shown in the equation c2 = a2 + b2.

Used to find side lengths of right triangles, the Pythagorean Theorem states that the square of the hypotenuse is equal to the squares of the two sides, or A2 + B2 = C2, where C is the hypotenuse

In a right triangle, the sum of the squares of the legs equals the square of the hypotenuse. a squared + b squared = c squared Q's

a historically renowned formula relating the three sides of a right triangle. If and represent the lengths of the two shorter sides (a.k.a. legs) and represents the length of the longest side (a.k.a. the hypotenuse), then

The theorem that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse.

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle. The theorem is named after the Greek mathematician Pythagoras, who by tradition is credited with its discovery,Heath, Vol I, p. 144. although knowledge of the theorem almost certainly predates him. The theorem is known in China as the "Gougu theorem" (å‹¾è‚¡å®šç†) for the (3, 4, 5) triangle.